| 一种图像去噪模型的数值解法 |
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| 引用本文： | 张尚超,王风.一种图像去噪模型的数值解法[J].首都师范大学学报(自然科学版),2009,30(1):5-9. |
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| 作者姓名： | 张尚超 王风 |
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| 作者单位： | 首都师范大学数学科学学院,北京,100048 |
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| 摘 要： | 用偏微分方程数值解中常用的交替方向隐格式对Wang Qiang等提出的图像去噪中的一种基于时滞正则的扩散模型进行离散化，构造出此模型的数值计算方法，并进行了数值实验.从实验结果来看，该扩散模型能有效地去除噪声并能比较好的保持图像的一些细节特征，而本文中构造出的模型的数值解法也是非常有效的.
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| 关 键 词： | 图像去噪 扩散模型 交替方向迭代格式 数值解法 |
A Numerical Computational Method to a Diffusion Model |
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| Zhang Shangchao,Wang Feng.A Numerical Computational Method to a Diffusion Model[J].Journal of Capital Normal University(Natural Science Edition),2009,30(1):5-9. |
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| Authors: | Zhang Shangchao Wang Feng |
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| Institution: | College of Mathematic Science;Capital Normal Unviersity;Beijing 100048 |
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| Abstract: | In this paper,we choose the Peaceman-Rachford(PR) method to construct a numerical computational method for Wang Qiang's time-delay regularization based on anisotropic diffusion model which is proposed for image denoising.The numerical examples are presented to show that this method can not only remove the noise efficiently but can preserve the details in the image such as edges and corners.All these can prove that the numerical computational method we have been constructed is very efficient. |
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| Keywords: | Image denoising diffusion model PR method numerical computational method |
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